Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions

TL;DR

This paper investigates pion fragmentation and parton distribution functions using a nonlocal chiral quark model, highlighting differences from local models and achieving good agreement with experimental data after Q^2 evolution.

Contribution

It introduces a nonlocal interaction framework for pion functions and performs Q^2 evolution, providing results that align well with experimental observations.

Findings

Nonlocal interactions cause significant differences compared to local models.

Results after Q^2 evolution agree qualitatively with experimental data.

The model offers a new approach to understanding pion structure functions.

Abstract

We study the unpolarized fragmentation functions and parton distribution functions of the pion employing the nonlocal chiral quark model. This model manifests the nonlocal interactions between the quarks and pseudoscalar mesons in the light-cone coordinate. It turns out that the nonlocal interactions result in substantial differences in comparison to typical models with only local couplings. We also perform the high Q^2-evolution for our results calculated at a relatively low renormalization scale Q^2 ~ 0.36 GeV}^2 to be compared with the experimental data. Our results after evolution are in qualitatively good agreement with those data.